How would I wrap a texture around a cylinder without it looking off?
This is because your texture is not &quot;seamless&quot; mainly due to the reflective shine in the middle:

You need a seamless texture and then bake the shine on it if you need it on the texture.
Something like these: https://naldzgraphics.net/free-seamless-metal-textures/
But since you said it was for a game, you'd have to make sure the textures are allowed for use in games and not just personal use.
Alternatively, you could look into &quot;Procedurally Generated Textures&quot; there are lots of tutorials on it. This is a great way to generate seamless textures without the worry of copyright.